for \( 0 < \Re (t) < \frac{1}{1-\alpha } \) , using Oberhettinger's tables [1]}.
Using the Master Theorem (REF ) we obtain the interpolating function
\(G(t) = (1-\alpha )^{\gamma t} \frac{\Gamma (\frac{1}{1-\alpha }+t)}{\Gamma (1+t)\Gamma (\frac{1}{1-\alpha })} .\) 
